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Finding the Fourth Proportional to 12,735.84, 19,094.17 and 5,342.40

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Solution

The fourth proportional to 12,735.84, 19,094.17 and 5,342.40 is: 8,009.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,735.84 : 19,094.17 = 5,342.40 : x
  2. Step 2: Convert to fraction form
    12,735.84/19,094.17 = 5,342.40/x
  3. Step 3: Cross multiply
    12,735.84x = 19,094.17 × 5,342.40
  4. Step 4: Simplify right side
    12,735.84x = 102,008,693.81
  5. Step 5: Solve for x
    x = 102,008,693.81/12,735.84
  6. Step 6: Final answer
    x = 8,009.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.